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Finding the Third Proportional to 239,285 and 348,541

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Solution

The third proportional to 239,285 and 348,541 is: 507,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,285 : 348,541 = 348,541 : x
  2. Step 2: Convert to fraction form
    239,285/348,541 = 348,541/x
  3. Step 3: Cross multiply
    239,285x = 348,541 × 348,541
  4. Step 4: Simplify right side
    239,285x = 121,480,828,681
  5. Step 5: Solve for x
    x = 121,480,828,681/239,285
  6. Step 6: Final answer
    x = 507,682.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.